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Finding the Third Proportional to 3,421,257 and 4,783,126

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Solution

The third proportional to 3,421,257 and 4,783,126 is: 6,687,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,257 : 4,783,126 = 4,783,126 : x
  2. Step 2: Convert to fraction form
    3,421,257/4,783,126 = 4,783,126/x
  3. Step 3: Cross multiply
    3,421,257x = 4,783,126 × 4,783,126
  4. Step 4: Simplify right side
    3,421,257x = 22,878,294,331,876
  5. Step 5: Solve for x
    x = 22,878,294,331,876/3,421,257
  6. Step 6: Final answer
    x = 6,687,101.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.